2250944640 has 320 divisors, whose sum is σ = 9188372160. Its totient is φ = 514418688.

The previous prime is 2250944629. The next prime is 2250944671. The reversal of 2250944640 is 464490522.

2250944640 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 9 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2250944595 and 2250944604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359779 + ... + 365981.

It is an arithmetic number, because the mean of its divisors is an integer number (28713663).

Almost surely, 2^2250944640 is an apocalyptic number.

2250944640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594186080).

2250944640 is an abundant number, since it is smaller than the sum of its proper divisors (6937427520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2250944640 is an equidigital number, since it uses as much as digits as its factorization.

2250944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2250944640 is about 47444.1212375148. The cubic root of 2250944640 is about 1310.5540534579.

The spelling of 2250944640 in words is "two billion, two hundred fifty million, nine hundred forty-four thousand, six hundred forty".